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Finding the Third Proportional to 77,986 and 125,593

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Solution

The third proportional to 77,986 and 125,593 is: 202,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986 : 125,593 = 125,593 : x
  2. Step 2: Convert to fraction form
    77,986/125,593 = 125,593/x
  3. Step 3: Cross multiply
    77,986x = 125,593 × 125,593
  4. Step 4: Simplify right side
    77,986x = 15,773,601,649
  5. Step 5: Solve for x
    x = 15,773,601,649/77,986
  6. Step 6: Final answer
    x = 202,261.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.